Quantized Black Hole and Heun function

D. Momeni; Koblandy Yerzhanov; Ratbay Myrzakulov

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Quantized Black Hole and Heun function

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arxiv 1009.0130 v3 pith:5HRFUE4I submitted 2010-09-01 physics.gen-ph gr-qc

D. Momeni , Koblandy Yerzhanov , Ratbay Myrzakulov This is my paper

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keywords equationdifferentialblackheunholeassociatedatomsbohr

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abstract

Following the simple proposal by He and Ma for quantization of a black hole(BH) by Bohr's idea about the atoms, we discussed the solvability of the wave equation for such a BH. We superficial solved the associated Schrodinger equation. The eigenfunction problem reduces to HeunB $H$ differential equation which is a natural generalization of the hypergeometric differential equation. In other words, the spectrum can be determined by solving the Heun's differential equation.

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